A 1.7 k g box moves back and forth on a horizontal frictionless surface between

Question

A 1.7kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.6cm , and then is released from rest.

By how much will the box compress the weaker spring? = change in L

What is the maximum speed the box will reach?

A 1.7kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 4.6cm , and then is released from rest. By how much will the box compress the weaker spring? = change in L What is the maximum speed the box will reach?

Explanation / Answer

part A : energy stored in spring = 0.5 kx^2 = 0.5 x 3200 x0.046^2 = 3.3856 joules

this will get converted to the elastic energy of weaker spring = 0.5 k x^2 = 3.3856

x=6.51 cm

part B : max speed after it is released from the first spring

0.5mV^2 = 3.3856

on solving the equation V = 1.996 m/s

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